## College Algebra (10th Edition)

$x=\left\{\frac{1}{2}, -4\right\}$
Factor the trinomial to obtain: $(2x-1)(x+4)=0$ Equate each factor to zero; then, solve each equation to obtain: $\begin{array}{ccc} &2x-1=0 &\text{ or } &x+4=0 \\&2x=1 &\text{ or } &x=-4 \\&x=\frac{1}{2} &\text{ or } &x=-4 \end{array}$ Thus, the solutions are: $x-\left\{\frac{1}{2}, -4\right\}$